Explore a comprehensive lecture on sampling transition paths in molecular systems using path integral stochastic optimal control. Delve into the challenges of sampling transition paths between metastable conformational states of molecules and learn about a novel method that considers the entire geometry of molecules without relying on collective variables. Discover the connection between this problem and recent work on the Schrodinger bridge problem and stochastic optimal control. Examine how the proposed method accounts for important characteristics of molecular systems, including second-order dynamics and invariance to rotations and translations. Follow along as the speaker demonstrates the application of this method to various molecular systems, including Alanine Dipeptide, Polyproline, and Chignolin. Gain insights into the background of molecular dynamics, transition path ensembles, and prior work in the field before diving into the specifics of the proposed Path Integral Stochastic Optimal Control for Transition Path (PIPS) method. Read more